I am curious about how the following paper fits into all this:

Arnaud Laborie, Remy Bruno, and Sebastien Montoya, "Reproducing multichannel sound on any speaker layout," 118th AES Convention, Paper #6375, 2005 May 28–31 Barcelona, Spain.

I know the authors are not addressing ambisonics - but the Fourier Bessel coefficients are somewhat related.

On 02/29/2012 06:28 AM, Fons Adriaensen wrote:


Two possible methods have been published.

The first is Franz Zotter's work, using an 'almost regular' virtual layout 
based on
t-designs for which a decoder can be designed in closed form. Then the virtual 
set
of speakers is mapped onto the real one using VBAP. As far as I know there is no
'ready to use' toolset for this method.

The second is the subject of BLaH paper #4, and is based on using a non-linear
optimisation toolset to find a solution, given the error constraints and weights
for a set of performance metrics. I developed more or less the same (even using
the same freely available non-linear library), but wasn't allowed to publish the
results, so I can confirm this can work rather well. What looks like a practical
implementation (by B,L&  H) of this method is scheduled for presentation at the
next Linux Audio Conference at CCRMA.

I don't think either method can be used 'blindly', in the sense that you just
throw a set of speaker coordinates at it and get a guaranteed result. You
will have to evaluate the results, and you may have to decide on tradeoffs
and iterate the procedure using modified parameter sets. At this point you
will need some familiarity with the internals in order to be able to proceed.

Ciao,


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